Lower bounds for covering times for reversible Markov chains and random walks on graphs (Q1825525)
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scientific article; zbMATH DE number 4121162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lower bounds for covering times for reversible Markov chains and random walks on graphs |
scientific article; zbMATH DE number 4121162 |
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Lower bounds for covering times for reversible Markov chains and random walks on graphs (English)
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1989
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For simple random walk on an N-vertex graph the mean time to cover all vertices is at least cN log N where c is an absolute constant. This result is deduced from a more general result about a lower bound for the mean coverage time for stationary finite-state reversible Markov chains, starting with the stationary distribution.
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graph covering
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random walk
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mean coverage time
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reversible Markov chains
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stationary distribution
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